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Finding the Third Proportional to 285,466 and 627,419

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Solution

The third proportional to 285,466 and 627,419 is: 1,378,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466 : 627,419 = 627,419 : x
  2. Step 2: Convert to fraction form
    285,466/627,419 = 627,419/x
  3. Step 3: Cross multiply
    285,466x = 627,419 × 627,419
  4. Step 4: Simplify right side
    285,466x = 393,654,601,561
  5. Step 5: Solve for x
    x = 393,654,601,561/285,466
  6. Step 6: Final answer
    x = 1,378,989.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.